JEE PHYSICS MCQ: OSCILLATIONS

Under the influence of a periodic force $\mathrm{F} 1$ a particle performs $\mathrm{SHM}$ along $\mathrm{x}$-axis and its $\mathrm{x}$ coordinate varies with time as, $x=A \sin \omega t$. When the force $F 1$ is replaced by another periodic force F2, particle performs SHM along $y$-axis and its $y$-coordinate varies with time as, $y=B \sin (\omega t+\Phi)$. When both forces are applied on the particle simultaneously, the particle performs SHM along a straight line in the $x-y$ plane.

(i) The value of $\Phi$ may be zero

(ii) The value of $\Phi$ may be $\pi$

(iii) The slope of the resulting path may be $\frac{B}{A}$

(iv) The slope of the resulting path may be $-\frac{B}{A}$

Choose the correct option.